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1. The number of Grade 11 learners per section in Kasiglahan Village Senior High School has a mean of 56.3 with a standard deviation of

1. The number of Grade 11 learners per section in Kasiglahan Village Senior High School has a mean of 56.3 with a standard deviation of 8.6. If a sample size of 6 is taken at random from the population, which of the following statement is correct? a.

The mean of the samplingdistribution of the sample mean is close to 56.3. b.

The mean of the samplingdistribution of the sample mean is less than 56.3. c.

The mean of the samplingdistribution of the sample mean is equal to 56.3. d.

The mean of the samplingdistribution of the sample mean is greater than 56.3.

2.Which of the following descriptions best illustrate the central limit theorem?

I. The central limit theorem is used to approximate the distribution of the sample mean over the distribution of the population mean.

II. The central limit theorem is used to conclude that the distribution of the sample mean will be normal if the sample size is sufficiently large even if the population is not normally distributed.

III. The central limit theorem is used to describe the normality of the distribution of standard deviation taken from a variance that is not normally distributed.

a.

I and II

b.

I only

c.

I, II, III

d.

II only

3. The average time it takes to be vaccinated is 5 minutes with the standard deviation of 1 minute. What is the proper sequence of the steps in the solution in solving the probability of more than 6 minutes average time to be vaccinated?

a.

I, II, III, IV

b.

I, IV, III, II

c.

II, IV, I, III

d.

II, IV, III, I

4.What confidence coefficient should be applied at 99% level of confidence to determine the required sample size

a.

2.33

b.

1.96

c.

2.58

d.

1.645

5.Which of the following variables is/are needed to determine the appropriate size of the sample?

I. Confidence level

II. Margin of error

III. Population mean

IV. Population standard deviation

a.

I, II, IV

b.

I only

c.

I and II

d.

I, II, III, IV

6.You are conducting a quantitative research on the study habits and academic performance of the Senior High School learners in distance learning. Given the standard deviation of 8 and margin of error of 2, which of the following solutions is correct in determining the sample size with 95% confidence level?

7. Pearson's sample correlation coefficient is used to measure ________.

a.

The strength of the linearrelationship between two variables

b.

The spread or dispersion ofdata around the mean

c.

The relationship betweencategorical variables in the population

d.

The difference between themeans of two groups when the variance is known, and the sample size is large.

8. Which of the following sequence is correct in computing Pearson's sample correlation coefficient?

I. Complete the table

II. Substitute all the values obtained by all summations

III. Construct the table

IV. Get the sum of all entries in all columns

a.

I, III, IV, II

b.

III, I, IV, II

c.

I, III, II, IV

d.

III, I, II, IV 9.A teacher always inculcates the value of honesty and making efforts to achieve quality of work/output. With this, a basic research was conducted. The correlation coefficient r between the number of hours spent by the learners in studying and their academic performance was found to be 0.97. Based on the finding, which of the following best describe the result?

a.

There is a strong positive correlation between the number of hours spent by the learners in studying and their academic performance. As a learner spends more time in studying, the higher is their academic performance.

b.

There is a strong negative correlation between the number of hours spent by the learners in studying and their academic performance. As a learner spends more time in studying, the lower is their academic performance.

c.

There is a perfect correlation between the number of hours spent by the learners in studying and their academic performance. As a learner spends more time in studying, the higher is their academic performance.

d.

There is no correlation between the number of hours spent by the learners in studying and their academic performance.

10. From the study "Increasing Mathematics Achievement through Contextualized and Localized Materials in Distance Learning", which of the following statement/s are true about its dependent and independent variables?

I. Mathematics achievement is the dependent variable

II. Mathematics achievement is the independent variable

III. Contextualized and Localized Materials is the dependent variable

IV. Contextualized and Localized Materials is the dependent variable

a.

I only

b.

III only

c.

I and IV

d.

II and III

11. You conducted a regression analysis between the number of absences and number of tasks missed by your 5 classmates in Statistics and Probability. It resulted that the regression line is y = 0.65x + 1.18. What is the predicted number of tasks missed of a learner who is always present?

a.

The learner has 1 task missed.

b.

The learner has less than 2tasks missed.

c.

The learner has more than 2tasks missed.

d.

The learner has no task missed.

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